Factorisation scale independence, the connection between alternative explanations of the EMC effect and QCD predictions for nuclear properties

We examine different models for deep inelastic scattering in nuclei in the context of the operator product expansion where the operator matrix elements involve a factorisation scale characterising the separation of short or long distance physics. By exploiting the independence of physical quantities upon this scale we can connect seemingly different models for the nucleus such as dynamical rescaling and the standard convolution models of nuclear physics, allowing nuclear properties to be simply expressed in terms of the anomalous dimensions of QCD. We discuss how non-convolution contributions may also be described by dynamical rescaling and we show how to extend dynamical rescaling to describe spin dependent quantities.